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Two variables x and y are believed to have a straight line relationship. We woul

ID: 3232477 • Letter: T

Question

Two variables x and y are believed to have a straight line relationship. We would like to predict y from x. Minitab tells us this about x and y. Pearson correlation of x and y = 0.941 P-value = 0.002 Use this information for this question and the two following. What is the intercept of the regression line for predicting Y from x? A) -5.3 B) 6.4 C) 0.9 D) 6.7 E) 1.0 Using the information given in Question 30, what is the predicted value of y when x = 10? The slop of the regression line is 1.0. A) 12.2 B) 16.7 C) 13.4 D) 7.7 Some investors believe in a "January indicator" for the stock market: that is, if the stock market is in January, it will be up for the rest of the year (and if the market is down in January, it will be down for the rest of the year). Historical data from a stock market is as follows: Find the marginal distribution of ups and downs for January. What is the proportion of times the stock market went up? A) 0.5 B) 0.6 C) 0.3 D) 0.7 E) 0.4 The Empirical Rule states that: Given a distribution of measurements that is approximate shaped (mound-shaped), the interval contains approximately 68% of the measurements, contains approximately 95% of the measurements, and the interval contains all or almost measurements. A) True B) False If you flip a coin twice, what is the probability that it will come up one heads and one tail time?

Explanation / Answer

Answer:

30).

Slope = 0.941*4.43/4.32=0.965

Intercept=13.43-0.965*7=6.675

Answer: D). 6.7

31).

Regression line y=6.7+0.965*x

When x=10, y =6.7+1*10 =16.7

Answer: B). 16.7

32).

P =42/(42+16+21+23) =0.411765

Answer: E). 0.4

33). True

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.